famous vs far-famed

famous and far-famed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
famous	No	Yes	No	No
far-famed	No	Yes	No	No

As adjectives, famous and far-famed are synonyms defined as:

Other synonyms of famous include celebrated, famed, illustrious, notable, noted, renowned.

famous (adjective)	far-famed (adjective)
widely known and esteemed	widely known and esteemed